34033 has 2 divisors, whose sum is σ = 34034. Its totient is φ = 34032.

The previous prime is 34031. The next prime is 34039. The reversal of 34033 is 33043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 2704 = 177^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 34033 - 2¹ = 34031 is a prime.

Together with 34031, it forms a pair of twin primes.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34033.

It is not a weakly prime, because it can be changed into another prime (34031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17016 + 17017.

It is an arithmetic number, because the mean of its divisors is an integer number (17017).

2³⁴⁰³³ is an apocalyptic number.

It is an amenable number.

34033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34033 is an equidigital number, since it uses as much as digits as its factorization.

34033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 34033 is about 184.4803512573. The cubic root of 34033 is about 32.4065957207.

Adding to 34033 its reverse (33043), we get a palindrome (67076).

Subtracting from 34033 its reverse (33043), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 340 and 33, that added together give a palindrome (373).

The spelling of 34033 in words is "thirty-four thousand, thirty-three".